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On the null geometry of quasi generalized CR-submanifolds of indefinite nearly α-Sasakian manifolds.

dc.contributor.advisorMassamba, Fortuné.
dc.contributor.authorSsekajja, Samuel.
dc.date.accessioned2018-02-27T07:20:23Z
dc.date.available2018-02-27T07:20:23Z
dc.date.created2017
dc.date.issued2017
dc.descriptionMaster of Science in Pure Mathematics. University of KwaZulu-Natal, Pietermaritzburg 2017.en_US
dc.description.abstractGeneralized CR (GCR)-lightlike submanifolds of indefinite almost contact manifolds were introduced by K. L. Duggal and B. Sahin, with the assumption that they are tangent to the structure vector field ξ of the almost contact structure (φ,η,ξ ). Contrary to the above assumption, we have introduced and studied a new class of CR-lightlike submanifold of an indefinite nearly α-Sasakian manifold, called quasi generalized CR (QGCR)-lightlike submanifold. We have showed that QGCR-lightlike submanifold include; ascreen QGCR, co-screen QGCR and the well known GCR-lightlike submanifolds. We have proved some existence (or non-existence) theorems and provided a thorough study of geometry of their distributions. Also, we have constructed many examples, where necessary, to illustrate the main ideas.en_US
dc.identifier.urihttp://hdl.handle.net/10413/15061
dc.language.isoen_ZAen_US
dc.subjectTheses - Pure Mathematics.en_US
dc.subject.otherCR - Submanifolds.en_US
dc.subject.otherQuasi generalized CR - submanifolds.en_US
dc.subject.otherNull geometry.en_US
dc.titleOn the null geometry of quasi generalized CR-submanifolds of indefinite nearly α-Sasakian manifolds.en_US
dc.typeThesisen_US

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